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Finding the Fourth Proportional to 5,738.72, 8,595.86 and 4,336.61

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Solution

The fourth proportional to 5,738.72, 8,595.86 and 4,336.61 is: 6,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.72 : 8,595.86 = 4,336.61 : x
  2. Step 2: Convert to fraction form
    5,738.72/8,595.86 = 4,336.61/x
  3. Step 3: Cross multiply
    5,738.72x = 8,595.86 × 4,336.61
  4. Step 4: Simplify right side
    5,738.72x = 37,276,827.77
  5. Step 5: Solve for x
    x = 37,276,827.77/5,738.72
  6. Step 6: Final answer
    x = 6,495.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.